#### Answer

x = -11

#### Work Step by Step

$\frac{5(x - 1)}{4} = \frac{3(x + 1)}{2}$
Distribute:
$\frac{5x - 5}{4} = \frac{3x + 3}{2}$
Multiply both sides by the Least Common Denominator, 4:
$4(\frac{5x - 5}{4}) = 4(\frac{3x + 3}{2})$
5x - 5 = 2(3x + 3)
5x - 5 = 6x + 6
Subtract 5x from both sides:
-5 = x + 6
Subtract 6 from both sides:
-11 = x
x = -11